Home / 1,523.47-2,102.39-824.85

Finding the Fourth Proportional to 1,523.47, 2,102.39 and 824.85

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Solution

The fourth proportional to 1,523.47, 2,102.39 and 824.85 is: 1,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.47 : 2,102.39 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,523.47/2,102.39 = 824.85/x
  3. Step 3: Cross multiply
    1,523.47x = 2,102.39 × 824.85
  4. Step 4: Simplify right side
    1,523.47x = 1,734,141.76
  5. Step 5: Solve for x
    x = 1,734,141.76/1,523.47
  6. Step 6: Final answer
    x = 1,138.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.